Automated mass spectrum generation for new physics

TL;DR

This paper introduces an extension to the FeynRules package that automates the generation of mass spectra for quantum field theories, including analytical and numerical tools for model analysis.

Contribution

It presents new functions for analytical mass matrix computation and a C++ package, ASperGe, for numerical diagonalization, enhancing model analysis capabilities.

Findings

Automated mass spectrum generation for various models

Analytical computation of mass matrices

Numerical diagonalization with ASperGe

Abstract

We describe an extension of the FeynRules package dedicated to the automatic generation of the mass spectrum associated with any Lagrangian-based quantum field theory. After introducing a simplified way to implement particle mixings, we present a new class of FeynRules functions allowing both for the analytical computation of all the model mass matrices and for the generation of a C++ package, dubbed ASperGe. This program can then be further employed for a numerical evaluation of the rotation matrices necessary to diagonalize the field basis. We illustrate these features in the context of the Two-Higgs-Doublet Model, the Minimal Left-Right Symmetric Standard Model and the Minimal Supersymmetric Standard Model.